Lemmara logoLemmaraWorked solution

4MA1/2F Jan 2023, Question 9: Tally Charts and Frequency Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 7 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using a partly filled two-way table for 120 cyclists (67 professional, rest amateur) and bike-type totals, complete the table, find the mountain-bike percentage, and calculate the pie-chart angle for 41 over-60s.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 3 marks

Fill in all the missing cells of the two-way table using the given row and column totals.

  1. 1Amateur total = 120 − 67 = 53
  2. 2Hybrid total = 120 − 39 − 54 = 27
  3. 3Professional mountain = 54 − 32 = 22
  4. 4Professional hybrid = 67 − 26 − 22 = 19
  5. 5Amateur road = 39 − 26 = 13
  6. 6Amateur hybrid = 27 − 19 = 8
  7. 7Check the amateur row: 13 + 32 + 8 = 53
  8. 8Professional: 26, 22, 19, total 67; Amateur: 13, 32, 8, total 53; Totals: 39, 54, 27, 120

AnswerProfessional: 26, 22, 19, 67; Amateur: 13, 32, 8, 53; Total: 39, 54, 27, 120

Part (b) · 2 marks

Calculate the percentage of the 120 cyclists whose favourite bike is Mountain bike.

  1. 1Number who answered Mountain bike = 54
  2. 2Total cyclists = 120
  3. 3Percentage = (54 / 120) × 100 = 45

Answer45

Part (c) · 2 marks

Find the sector angle representing the 41 cyclists aged over 60 in a pie chart of all 120.

  1. 1Number in 'over 60' group = 41
  2. 2Total cyclists = 120
  3. 3Angle = (41 / 120) × 360 = 123

Answer123

Stuck on a step? Read the free lesson: Tally Charts and Frequency Tables

Practise more tally charts and frequency tables questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on tally charts and frequency tables

Also searched as: 4MA1 2F January 2023 · 4MA1/2F · 4ma1 jan23 2f · question 9.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.